Bess, acceleration behaviour.

For a long while the acceleration phase of any trip has been a bit marginal, if I allow revs to build gently she moves on but sharp throttle increase there has been a faltering, like the engine was being held back or was going to seize.  On my latest trip out I changed my foot position on the throttle pedal and noticed it has a tendency to move to the right on a vertical axes.  Put my foot more to the outside of the pedal and she fairly jumped forwards and there was a bark to the engine note I hve not heard in a couple of decades (Prior stage 2 racing engine).  Could this mean the ineffective throttle movement was starving the engine of fuel?

I know this is probably a bit basic but I cannot come up with anything to explain what I have noticed lately compared to the prior use.  That said the old solex carbs were pretty worn out.